Wigner function for the generalized excited pair coherent state

This paper introduces the generalized excited pair coherent state (GEPCS). Using the entangled state |η〉 representation of Wigner operator, it obtains the Wigner function for the GEPCS. In the ρ-γ phase space, the variations of the Wigner function distributions with the parameters q , α, k and l are discussed. The tomogram of the GEPCS is calculated with the help of the Radon transform between the Wigner operator and the projection operator of the entangled state |η 1 , η 2 , τ 1 , τ 2 〉. The entangled states |η〉 and η 1 , η 2 , τ 1 , τ 2 〉 provide two good representative space for studying the Wigner functions and tomograms of various two-mode correlated quantum states.